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Natalka [10]
2 years ago
12

What point on the line y=9x+8 is closest to the origin

Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

to find the point, find the location

realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8

perpendicular lines have slopes that multiply to get -1

y=9x+8 has a slope of 9

9*m=-1, m=-1/9

the slope of the mystery line is -1/9

since it passes through the origin, the y intercept is 0

y=(-1/9)x is the equation of the line from the point to the origin

find the intersection of this line and the original line

set them equal to each other

(-1/9)x=9x+8

multily both sides by 9

-x=81x+72

minus 81 both sides

-82x=72

divide both sides by -82

x=-36/41

find y

y=(-1/9)x

y=(-1/9)(-36/41)

y=4/41

the point is (\frac{-36}{41},\frac{4}{41})

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Answer:

y = 0.6x

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

Step 1: Find slope <em>m</em>

m = (1.2 - 0)/(2 - 0)

m = 1.2/2

m = 0.6

y = 0.6x

Step 2: Find y-intercept <em>b</em>

(0, 0) is y-int

Equation is y = 0.6x

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The image of (-9,-4) after a reflection over the y-axis?
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2 years ago
How many liters are equal to 3,167 milliliters? Use the placement of the decimal point when dividing by a power of 10 to help yo
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Answer:

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3 years ago
Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe
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Answer:

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

Step-by-step explanation:

We know mean u = 38  standard dev. s = 2

We want  P ( 37 < x < 41)

so

P( (37 - 38) / 2 <  Z) =  P(-0.5 < Z)  

P( Z <  (41 - 38)/2 ) =  P( Z < 1.5)

Find  P(Z < -0.5) = 0.3085

Find P(Z > 1.5) = 0.0668

so  P(-0.5 < Z < 1.5) =  1  - P(Z < -0.5) - P(Z > 1.5)

P(-0.5 < Z < 1.5) =  1  - 0.3085 -  0.0668

P(-0.5 < Z < 1.5) =  0.6247

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

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3 years ago
Solve for x<br> -4+4x=16
vesna_86 [32]
X=5 because 4x5=20 and 20-4=16
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3 years ago
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